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Finding the Fourth Proportional to 3,116.80, 4,671.49 and 1,448.67

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Solution

The fourth proportional to 3,116.80, 4,671.49 and 1,448.67 is: 2,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.80 : 4,671.49 = 1,448.67 : x
  2. Step 2: Convert to fraction form
    3,116.80/4,671.49 = 1,448.67/x
  3. Step 3: Cross multiply
    3,116.80x = 4,671.49 × 1,448.67
  4. Step 4: Simplify right side
    3,116.80x = 6,767,464.26
  5. Step 5: Solve for x
    x = 6,767,464.26/3,116.80
  6. Step 6: Final answer
    x = 2,171.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.